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math.DG2026
A sharp isoperimetric inequality and the top order -curvature
Mingxiang Li, Xingwang Xu
For a smooth, complete and normal metric with finite total -th order -curvature on with dimension , we first show that everywhere…
math.DG2013
Remarks on the -curvature flow
Xuezhang Chen, Li Ma, Xingwang Xu
The main purpose of this short note is to point out that the negative gradient flow for the prescribed -curvature problem on can be extended to handle the case tha…
math.DG2007★ 1 cited
Ricci Flow with hyperbolic warped product metrics
Li Ma, Xingwang Xu
In this short note, we show that the negative curvature is preserved in the deformation of hyperbolic warped product metrics under Ricci flow. It is also showed that the flow conve…